Chapter 2: Q. 13 (page 68)

True or False If no domain is specified for a function $f$ , then the domain of $f$ is taken to be the set of real numbers.

Short Answer

Expert verified

The given statement is true.

Step by step solution

Step 1. Given information

In the given question we have to explain the given statement is true or false.

The statement is "If no domain is specified for a function $f$ , then the domain of $f$ is taken to be the set of real numbers. "

The domain of a function

The domain of a function $f (x)$ is the set of all values for which the function is defined, and the range of the function is the set of all values that $f$ takes

Step 3. If a function f is defined by an equation and no domain is specified, then the domain will be taken to be the largest set of real numbers for which the equation defines a real number.

Hence, the given statement is true.

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True or False If no domain is specified for a function $f$ , then the domain of $f$ is taken to be the set of real numbers.

Short Answer

Step by step solution

Step 1. Given information

The domain of a function

Step 3. If a function f is defined by an equation and no domain is specified, then the domain will be taken to be the largest set of real numbers for which the equation defines a real number.

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True or False If no domain is specified for a function f, then the domain of fis taken to be the set of real numbers.

Short Answer

Step by step solution

Step 1. Given information

The domain of a function

Step 3. If a function f is defined by an equation and no domain is specified, then the domain will be taken to be the largest set of real numbers for which the equation defines a real number.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

Geometry

Statistics

Pure Maths

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Study anywhere. Anytime. Across all devices.

True or False If no domain is specified for a function $f$ , then the domain of $f$ is taken to be the set of real numbers.